Unit 5.1 - Notes
midsegment_ – a segment that
connects the midpoint of two sides
of a triangle.
So LM, MN, and LN are the
midsegments of triangle ABC.
The segment connecting the midpoints of two
sides of a triangle is parallel to the third side
and half its length.
If QR = 18, then JK is half of it which means JK = 9.
If PK = 8, then KR = 8 since K is the midpoint of PR.
Since PR = 16 all together, JL is half of PR since it is
between the two midpoints so JL = 8.
If KL = 6, then PQ is double KL so PQ = 12.
KR = 8, LR = 9, QL = 9, PJ = 6, JQ = 6
Perimeter of PQR = 18 + 12 + 16 = 46
Perimeter of JKL = 6 + 8 + 9 = 23
EX 2: Place each figure in a coordinate plane in a
way that is convenient for finding side lengths.
Assign coordinates to each vertex.
a) a square with sides of length m
b) an acute triangle with base length b
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